25 citations · 26 across the 7 of their papers we have counts for
7 papers
Nonlinear stability of the Larson-Penston collapse
Yan Guo, Mahir Hadzic, Juhi Jang +1
We prove nonlinear stability of the Larson-Penston family of self-similarly collapsing solutions to the isothermal Euler-Poisson system. Our result applies to radially symmetric pe…
On quantitative linear gravitational relaxation
Mahir Hadzic, Matthew Schrecker
We prove quantitative decay rates for the linearised Vlasov-Poisson system around compactly supported equilibria. More precisely, we prove decay of the gravitational potential indu…
Quantitative phase mixing for Hamiltonians with trapping
Mahir Hadžić, Gerhard Rein, Matthew Schrecker +1
We prove quantitative decay estimates of macroscopic quantities generated by the solutions to linear transport equations driven by a general family of Hamiltonians. The associated…
Converging/diverging self-similar shock waves: from collapse to reflection
Juhi Jang, Jiaqi Liu, Matthew Schrecker
We solve the continuation problem for the non-isentropic Euler equations following the collapse of an imploding shock wave. More precisely, we prove that the self-similar Güderley…
Supersonic Gravitational Collapse for Non-Isentropic Gaseous Stars
Christopher Alexander, Mahir Hadžić, Matthew Schrecker
We show the existence of a new class of initially smooth spherically symmetric self-similar solutions to the non-isentropic Euler-Poisson system. These solutions exhibit supersonic…
Damping versus oscillations for a gravitational Vlasov-Poisson system
Mahir Hadzic, Gerhard Rein, Matthew Schrecker +1
We consider a family of isolated inhomogeneous steady states to the gravitational Vlasov-Poisson system with a point mass at the centre. They are parametrised by the polytropic ind…
Gravitational Collapse for Polytropic Gaseous Stars: Self-similar Solutions
Yan Guo, Mahir Hadzic, Juhi Jang +1
In the supercritical range of the polytropic indices we show the existence of smooth radially symmetric self-similar solutions to the gravitational Euler-Poisson…